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Finding the Third Proportional to 927,427.50 and 1,954,484.25

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Solution

The third proportional to 927,427.50 and 1,954,484.25 is: 4,118,929.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,427.50 : 1,954,484.25 = 1,954,484.25 : x
  2. Step 2: Convert to fraction form
    927,427.50/1,954,484.25 = 1,954,484.25/x
  3. Step 3: Cross multiply
    927,427.50x = 1,954,484.25 × 1,954,484.25
  4. Step 4: Simplify right side
    927,427.50x = 3,820,008,683,498.06
  5. Step 5: Solve for x
    x = 3,820,008,683,498.06/927,427.50
  6. Step 6: Final answer
    x = 4,118,929.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.